4144938048 has 112 divisors (see below), whose sum is σ = 12219432000. Its totient is φ = 1377782784.

The previous prime is 4144938023. The next prime is 4144938097. The reversal of 4144938048 is 8408394414.

4144938048 is a `hidden beast` number, since 41 + 4 + 493 + 80 + 48 = 666.

4144938048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4144938048² = 34361022843516100608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4144937994 and 4144938012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651748 + ... + 658076.

Almost surely, 2^4144938048 is an apocalyptic number.

4144938048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109716000).

4144938048 is an abundant number, since it is smaller than the sum of its proper divisors (8074493952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4144938048 is a wasteful number, since it uses less digits than its factorization.

4144938048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6729 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4144938048 is about 64381.1932787829. The cubic root of 4144938048 is about 1606.3469311659.

It can be divided in two parts, 41449 and 38048, that added together give a palindrome (79497).

The spelling of 4144938048 in words is "four billion, one hundred forty-four million, nine hundred thirty-eight thousand, forty-eight".